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<p>This study examines the dynamics of quantumness in two-flavor neutrino oscillations in the presence of a dephasing channel, using representative oscillation parameters from the KamLAND, MINOS, and Daya Bay experiments. We analyze three complementary quantum-correlation measures—entanglement of formation (EOF), quantum discord (QD), and local quantum uncertainty (LQU)—within an effective two-qubit description. In the unitary case, all three measures display oscillatory behavior controlled by flavor mixing, and the relevant mixing angle strongly shapes their amplitudes. MINOS exhibits the largest correlations because <InlineEquation ID="IEq1"><EquationSource Format="TEX">\(\theta _{23}\)</EquationSource></InlineEquation> is close to maximal, KamLAND shows intermediate values associated with the solar sector, and Daya Bay yields smaller correlations due to the relatively small value of <InlineEquation ID="IEq2"><EquationSource Format="TEX">\(\theta _{13}\)</EquationSource></InlineEquation>. Under dephasing, the off-diagonal coherence terms are suppressed, and the three quantifiers decrease accordingly, while QD remains non-zero in regimes where entanglement is weak. For pure states, LQU satisfies <InlineEquation ID="IEq3"><EquationSource Format="TEX">\(\mathcal {U}=\mathcal {C}^2\)</EquationSource></InlineEquation> and therefore tracks entanglement monotonically, whereas QD provides a broader witness of non-classical correlations. These results provide a compact quantum information description of two-flavor neutrino oscillations in both the coherent and dephased regimes. We also quantify the sensitivity of these observables to oscillation and decoherence parameters, showing that their main added value relative to flavor probabilities is their direct response to off-diagonal coherence loss.</p>

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Influence of quantum decoherence on the survival of quantumness in neutrino oscillations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月25日

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  • Jilali Loulijat,
  • Abdallah Slaoui,
  • Mohamed Gouighri,
  • Berihu Teklu

摘要

This study examines the dynamics of quantumness in two-flavor neutrino oscillations in the presence of a dephasing channel, using representative oscillation parameters from the KamLAND, MINOS, and Daya Bay experiments. We analyze three complementary quantum-correlation measures—entanglement of formation (EOF), quantum discord (QD), and local quantum uncertainty (LQU)—within an effective two-qubit description. In the unitary case, all three measures display oscillatory behavior controlled by flavor mixing, and the relevant mixing angle strongly shapes their amplitudes. MINOS exhibits the largest correlations because \(\theta _{23}\) is close to maximal, KamLAND shows intermediate values associated with the solar sector, and Daya Bay yields smaller correlations due to the relatively small value of \(\theta _{13}\). Under dephasing, the off-diagonal coherence terms are suppressed, and the three quantifiers decrease accordingly, while QD remains non-zero in regimes where entanglement is weak. For pure states, LQU satisfies \(\mathcal {U}=\mathcal {C}^2\) and therefore tracks entanglement monotonically, whereas QD provides a broader witness of non-classical correlations. These results provide a compact quantum information description of two-flavor neutrino oscillations in both the coherent and dephased regimes. We also quantify the sensitivity of these observables to oscillation and decoherence parameters, showing that their main added value relative to flavor probabilities is their direct response to off-diagonal coherence loss.